Results 31 to 40 of about 1,044 (116)

On low-dimensional solvmanifolds [PDF]

open access: yesAsian Journal of Mathematics, 2016
105 pages, 36 tables; ad v4: References to other papers ...
openaire   +3 more sources

Examples of solvmanifolds without LCK structures

open access: yesComplex Manifolds, 2018
The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj   +1 more source

The Classification of Flat Solvmanifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
This paper contains a complete algebraic characterization of the fundamental groups of flat solvmanifolds. This characterization is in terms of finite integral representations of free abelian groups and the associated cohomology. A classification of compact flat solvmanifolds follows, and a list of all compact flat solvmanifolds of dimensions 3, 4, and
openaire   +1 more source

Hypercomplex Almost Abelian Solvmanifolds

open access: yesThe Journal of Geometric Analysis, 2023
Minor ...
Adrián Andrada, María Laura Barberis
openaire   +2 more sources

SKT and tamed symplectic structures on solvmanifolds [PDF]

open access: yesTohoku Mathematical Journal, 2015
Final version of the paper "Tamed complex structures on solvmanifolds".
FINO, Anna Maria   +2 more
openaire   +5 more sources

Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]

open access: yes, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections $\nabla^{\varepsilon,\rho}$ in the anomaly cancellation equation.
Otal, A., Ugarte, L., Villacampa, R.
core   +4 more sources

Distinguished $$G_2$$-Structures on Solvmanifolds [PDF]

open access: yes, 2020
Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups.
openaire   +3 more sources

Cohomology of D-complex manifolds [PDF]

open access: yes, 2012
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Angella, Daniele   +1 more
core   +2 more sources

Chern‐Simons forms of pseudo‐Riemannian homogeneity on the oscillator group

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 3007-3014, 2003., 2003
We consider forms of Chern‐Simons type associated to homogeneous pseudo‐Riemannian structures. The corresponding secondary classes are a measure of the lack of a homogeneous pseudo‐Riemannian space to be locally symmetric. In the present paper, we compute these forms for the oscillator group and the corresponding secondary classes of the compact ...
P. M. Gadea, J. A. Oubiña
wiley   +1 more source

Non-formal co-symplectic manifolds [PDF]

open access: yes, 2014
We study the formality of the mapping torus of an orientation-preserving diffeomorphism of a manifold. In particular, we give conditions under which a mapping torus has a non-zero Massey product.
Bazzoni, Giovanni   +2 more
core   +2 more sources

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